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Finding the Fourth Proportional to 493,324.86, 680,818.95 and 278,386.50

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Solution

The fourth proportional to 493,324.86, 680,818.95 and 278,386.50 is: 384,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,324.86 : 680,818.95 = 278,386.50 : x
  2. Step 2: Convert to fraction form
    493,324.86/680,818.95 = 278,386.50/x
  3. Step 3: Cross multiply
    493,324.86x = 680,818.95 × 278,386.50
  4. Step 4: Simplify right side
    493,324.86x = 189,530,804,624.18
  5. Step 5: Solve for x
    x = 189,530,804,624.18/493,324.86
  6. Step 6: Final answer
    x = 384,190.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.